Goal: Think like a mathematician! Looking for repetition in the way you draw or build shapes, then generalize the regularity.
Task adapted from Smith, Margaret, Silver, and Stein,Improving Instruction in Algebra: Using Cases to Transform Mathematics Teaching and Learning Volume 2, Smith, M., Silver, and Stein, New York,Teachers College Press, 2005.
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This task was the third time my 8th graders had done the routine. They were able to immediately get to work redrawing the figures and looking for repetition. They had the routine down. 7 or 8 students came to the board to share their method. I had students make posters of their generalizations in groups. They took this very seriously and led to students having great discussions and creating posters that very clearly showed the relationship between the drawing and expression.